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Finding the Fourth Proportional to 83,731.57, 125,598.50 and 24,568.44

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Solution

The fourth proportional to 83,731.57, 125,598.50 and 24,568.44 is: 36,852.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,731.57 : 125,598.50 = 24,568.44 : x
  2. Step 2: Convert to fraction form
    83,731.57/125,598.50 = 24,568.44/x
  3. Step 3: Cross multiply
    83,731.57x = 125,598.50 × 24,568.44
  4. Step 4: Simplify right side
    83,731.57x = 3,085,759,062.88
  5. Step 5: Solve for x
    x = 3,085,759,062.88/83,731.57
  6. Step 6: Final answer
    x = 36,852.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.